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Finding the Third Proportional to 214,289 and 466,675

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Solution

The third proportional to 214,289 and 466,675 is: 1,016,317.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,289 : 466,675 = 466,675 : x
  2. Step 2: Convert to fraction form
    214,289/466,675 = 466,675/x
  3. Step 3: Cross multiply
    214,289x = 466,675 × 466,675
  4. Step 4: Simplify right side
    214,289x = 217,785,555,625
  5. Step 5: Solve for x
    x = 217,785,555,625/214,289
  6. Step 6: Final answer
    x = 1,016,317.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.